This paper proves the convergence of the ghost fluid method for second order elliptic partial differential equations with interfacial jumps. A weak formulation of the problem is first presented, which then yields the existence and uniqueness of a solution to the problem by classical methods. It is shown that the application of the ghost fluid method by Fedkiw, Kang, and Liu to this problem can ...

In this note we study the world volume theory of pairs of D-brane and ghost D-brane, which is shown to have 16 linear supersymmetries and 16 nonlinear supersymmetries. In particular we study a matrix model based on the pairs of D(−1)brane and ghost D(−1)-brane. Since such pairs are supposed to be equivalent to the closed string vacuum, we expect all 32 supersymmetries should be unbroken. We sho...

Introduction Echo-planar imaging (EPI) is widely used in functional MRI studies, most often in single-shot form. Interleaved multi-segment EPI becomes desirable when higher spatial resolution and less geometric distortion are crucial. However, interleaved EPI is more susceptible to ghost artifacts. The first major cause of ghost artifacts is even-odd echo data discrepancy, mainly due to gradien...

A recent form of the Slavnov-Taylor identity for the ghost-gluon vertex of QCD is compared with perturbative results. It is found that this identity, derived assuming ghost-ghost scattering can be neglected, is not consistent with perturbation theory. A new identity is derived at the one-loop perturbative level.

Classical ghost imaging has received considerable attention in recent years because of its remarkable ability to image a scene without direct observation by a light-detecting imaging device. In this article, we show that this imaging process is actually a realization of a paradigm known as dual photography, which has been shown to produce full-color dual (ghost) images of 3D objects with comple...